Compare 4/5 and 40/72
4/5 is greater than 40/72
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 72 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 5 × 72 = 360,
4/5 = 4 × 72/5 × 72 = 288/360 - Likewise, for the 2nd fraction, since 72 × 5 = 360,
40/72 = 40 × 5/72 × 5 = 200/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/360 > 200/360 or 4/5 > 40/72
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